Friday, November 6th, 2009
Introduction to Scalars
Description
A detailed tutorial on what a scalar is. Step by step tutorial including several examples of scalars and how they relate to vectors for reference.
Overview
A scalar is a number that relates vectors on a vector space through the process of scalar multiplication. A scalar can be taken from any set of numbers, including rational, algebraic, real, and complex sets of numbers. The scalar is always a real number. A scalar is a single component, and things such as vectors, matrices, and tensors can be reduced to a scalar.
Tags: algebra, algebraic, complex, component, compound, matrices, matrix, number, quaternions, rational, real, scalar, single, space, tensor, vector
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Tuesday, October 13th, 2009
Introduction to Present Value
Description
A detailed tutorial on solving for the present value. Step by step tutorial including several examples of solving for the present value for reference.
Overview
Present value is the value on a given date of a future payment or series of future payments. It is typically discounted to reflect the time value of money, and sometimes other factors. Because of this, the main calculation for present value is simply the calculation for the time value of money. The time value of money can be found by using the compund interest formula, which can be mathematically expressed as 
. This is equal to the present value.
Tags: algebra, calculation, compound, formula, interest, investment, Math, money, present, risk, time, value
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Tuesday, September 15th, 2009
How to Compound Your Money Continually
Description
A detailed tutorial on the solving of continuous compounding equations. Step by step tutorial including several examples of how to compound money continuously for reference.
Overview
Continuous compounding is slightly different than compound interest, in that the money is always being compounded - hence the name continuous compounding. Continuous compounding can be found by using the formula A = P * e^rt, which people sometimes remember by saying \”A is Pert.\” In this equation, A stands for the final amount, P stands for the principal (starting) amount, e is a number approximately equal to 2.71828, r stands for the interest rate, and t stands for the time in years.
Tags: algebra, compound, continuous compounding, continuously, interest rate, Math, money, statistics
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